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LCM of 806, 982, 982, 153

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 806, 982, 982, 153 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 806, 982, 982, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,982,982,153

Given numbers are 806,982,982,153

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 806,982,982,153 is 60549138.

Find LCM of 806,982,982,153 with Prime Factorization


2 806, 982, 982, 153
491 403, 491, 491, 153
403, 1, 1, 153

Multiply the prime numbers at the bottom and the left side.

2 x 491 x 403 x 1 x 1 x 153 = 60549138

Therefore, the lowest common multiple of 806,982,982,153 is 60549138.

LCM Formula to Find Lowest Common Multiple of 806,982,982,153

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

806 x 982 x 982 x 153 = 118918507032

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

806 : 1, 2, 13, 26, 31, 62, 403, 806

982 : 1, 2, 491, 982

982 : 1, 2, 491, 982

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,982,982,153, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

982:2x 491

982:2x 491

153:3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 491 = 1964

Therefore, the value for common factors is 1964.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 118918507032/(1x1964)

LCM = 118918507032/1964

LCM = 60549138

Thus, we can understand that the LCM of 806,982,982,153 is 60549138.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 982, 982, 153

1. What is the LCM of 806, 982, 982, 153?

Answer: LCM of 806, 982, 982, 153 is 60549138.

2. How to calculate the LCM of 806, 982, 982, 153?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 806, 982, 982, 153.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.